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Finding the Third Proportional to 1,247,716,953 and 2,703,491,451

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Solution

The third proportional to 1,247,716,953 and 2,703,491,451 is: 5,857,791,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,716,953 : 2,703,491,451 = 2,703,491,451 : x
  2. Step 2: Convert to fraction form
    1,247,716,953/2,703,491,451 = 2,703,491,451/x
  3. Step 3: Cross multiply
    1,247,716,953x = 2,703,491,451 × 2,703,491,451
  4. Step 4: Simplify right side
    1,247,716,953x = 7,308,866,025,630,085,120
  5. Step 5: Solve for x
    x = 7,308,866,025,630,085,120/1,247,716,953
  6. Step 6: Final answer
    x = 5,857,791,711.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.